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Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.
0

%I #3 Nov 25 2015 07:44:16

%S 1,3,6,23,112,561,3519,39132,437312,4828352,70006528,1118710784,

%T 17726058496,298648682496,7527505969152

%N Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.

%C Column 2 of A264794.

%e Some solutions for n=7

%e ..0..7....7..1....0..8....9..7....0..8....8..0....7..1....0..8....8..7....7..1

%e ..1..9....0..8....7..1....2..0....7..3....2..7....0..8....7..1....2..0....0..9

%e ..8..3....9..3...10..2....4..8....1.11....4..1....2..3....2..9...10..1....8.10

%e ..2.11....2..4....3..9...11..1....2.12....5..9....9.11....3.11....3..9....2..3

%e .10.12...10.11....4.12...12.10....9..5...12.10...10.12...10..5....4.11...12..4

%e ..4..6...12..6...11..5....6..3...10..6...13..3....4..6....4..6...13..5....6.11

%e ..5.13....5.13....6.13...13..5....4.13....6.11....5.13...12.13....6.12...13..5

%Y Cf. A264794.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 25 2015